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Continued fractions analytic theory and applications by Jones, William B.

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Published by Addison-Wesley Pub. Co. in Reading, Mass .
Written in English


  • Continued fractions.

Book details:

Edition Notes

StatementWilliam B. Jones, W. J. Thron ; foreword by Felix E. Browder ; introd. by Peter Henrici.
SeriesEncyclopedia of mathematics and its applications ;, v. 11
ContributionsThron, Wolfgang J., joint author.
LC ClassificationsQA295 .J64
The Physical Object
Paginationxxviii, 428 p. :
Number of Pages428
ID Numbers
Open LibraryOL4109368M
ISBN 100201135108
LC Control Number80024255

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The book is well written and contains all significant advances in continued fractions over the past decade. The reviewer warmly recommends the book to all who have an interest in continued fractions. -- Mathematical Reviews "Mathematical Reviews"?The topics are well-researched and well presented Format: Hardcover. Book Description This is an exposition of the analytic theory of continued fractions in the complex domain with emphasis on applications and computational by: Introduction to (simple) continued fractions. Convergents as lower and upper bound rational approximations. Finite = rational number. Periodic = quadratic irrational (Lagrange). Applications to Diophantine problems such as Ax+By=C, Pell's x^2-Ny^2=1. Shanks' method for /5. This book presents the arithmetic and metrical theory of regular continued fractions and is intended to be a modern version of A. Ya. Khintchine's classic of the same title.

Book description This is an exposition of the analytic theory of continued fractions in the complex domain with emphasis on applications and computational methods. Review of the hardback:‘The first comprehensive and self-contained exposition of the analytic theory of continued fractions Author: William B. Jones, W. J. Thron. The author of this book presents an easy-going discussion of simple continued fractions, beginning with an account of how rational fractions can be expanded into continued fractions. Gradually the reader is introduced to such topics as the application of continued fractions to the solution of Diophantine equations, and the expansion of. ' Continued fractions were studied by the great mathematicians of the seventeenth and eighteenth centuries and are a subject of active investigation today. Nearly all books on the theory of numbers include a chapter on continued fractions, but these accounts are . simple continued fraction: the simple continued fraction has a 0 as its rst number, then remove the 0. the simple continued fraction does not have 0 as its rst number, then shift all the numbers to the right and place 0 as the rst Size: KB.

Continued fractions (c.f.) can be used to represent real numbers. This well-written, page book by Khinchin covers the basic facts about this correspondence as well as some applications in diophantine approximation and measure-theoretic questions about c.f/5. the great defect of continued fractions is that it is virtually impossible to use them for even the simplest algebraic computation involving two or more numbers. There are several books devoted entirely to the subject of continued fractions (e.g., [1], [2], [3], [5]), and many books on number theory give an elementary introduction to the subject. Elementary-level text by noted Soviet mathematician offers superb introduction to positive-integral elements of theory of continued fractions. Clear, straightforward presentation of the properties of the apparatus, the representation of numbers by continued fractions and the measure theory of continued fractions. edition. Prefaces. Continued fractions have been studied from the perspective of number theory, complex analysis, ergodic theory, dynamic processes, analysis of algorithms, and even theoretical physics, which has 1/5(1).